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Finding the Third Proportional to 7,317 and 8,356.50

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Solution

The third proportional to 7,317 and 8,356.50 is: 9,543.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,317 : 8,356.50 = 8,356.50 : x
  2. Step 2: Convert to fraction form
    7,317/8,356.50 = 8,356.50/x
  3. Step 3: Cross multiply
    7,317x = 8,356.50 × 8,356.50
  4. Step 4: Simplify right side
    7,317x = 69,831,092.25
  5. Step 5: Solve for x
    x = 69,831,092.25/7,317
  6. Step 6: Final answer
    x = 9,543.68

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.